{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "provenance": [], "authorship_tag": "ABX9TyMDG9sMrBol8RGVfhsCjAFA", "include_colab_link": true }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.signal import savgol_filter\n", "\n", "# Step 1: Problem Formulation\n", "problem_statement = \"Maximize the lift coefficient of an airfoil through shape optimization.\"\n", "objectives = [\"Maximize lift coefficient\"]\n", "\n", "# Step 2: Data Preparation\n", "def define_initial_shape(boundary_points):\n", " # Define an initial airfoil shape with a typical camber\n", " x = np.linspace(0, 1, len(boundary_points))\n", " initial_shape = 4 * x * (1 - x) # Quadratic camber line\n", " return initial_shape\n", "\n", "def set_constraints(total_area, fixed_points):\n", " total_area_constraint = total_area\n", " fixed_points_constraint = fixed_points\n", " return total_area_constraint, fixed_points_constraint\n", "\n", "def set_objective():\n", " objective_function = \"Maximize lift coefficient\"\n", " return objective_function\n", "\n", "# Step 3: Ricci Flow Implementation\n", "def ricci_flow(shape, iterations):\n", " for i in range(iterations):\n", " shape = deform_shape(shape)\n", " shape = preserve_properties(shape)\n", " return shape\n", "\n", "def deform_shape(shape):\n", " # Apply deformation based on the airfoil shape\n", " deformed_shape = shape + 0.05 * np.random.normal(size=len(shape))\n", " deformed_shape = smooth_shape(deformed_shape) # Apply smoothing\n", " return deformed_shape\n", "\n", "def smooth_shape(shape):\n", " # Apply smoothing using a moving average filter\n", " smoothed_shape = savgol_filter(shape, window_length=15, polyorder=2)\n", " return smoothed_shape\n", "\n", "def preserve_properties(shape):\n", " # Ensure preservation of important airfoil properties (e.g., chord length)\n", " # No deformation in this example\n", " preserved_shape = shape\n", " return preserved_shape\n", "\n", "# Step 4: Optimization Loop\n", "def optimize_shape(initial_shape, constraints, objective, iterations):\n", " shape = initial_shape\n", " lift_values = []\n", " shape_history = []\n", "\n", " for i in range(iterations):\n", " shape = ricci_flow(shape, 1)\n", " lift_coefficient = evaluate_lift(shape)\n", " shape = update_shape(shape, lift_coefficient)\n", "\n", " lift_values.append(lift_coefficient)\n", " shape_history.append(shape)\n", "\n", " return shape, lift_values, shape_history\n", "\n", "def evaluate_lift(shape):\n", " # Calculate lift coefficient based on the airfoil shape and angle of attack\n", " angle_of_attack = np.radians(5) # Angle of attack in radians\n", " camber_line = shape\n", " thickness = 0.1 # Airfoil thickness\n", " chord_length = 1.0 # Airfoil chord length\n", "\n", " # Calculate lift coefficient using a simplified equation (for demonstration purposes)\n", " cl = 2 * np.pi * angle_of_attack + 0.7 * thickness # Placeholder calculation\n", " lift_coefficient = cl / (chord_length / 2) # Lift coefficient per unit length\n", "\n", " return lift_coefficient\n", "\n", "def update_shape(shape, lift_coefficient):\n", " # No shape update in this example\n", " updated_shape = shape\n", " return updated_shape\n", "\n", "# Step 5: Analysis and Visualization\n", "def visualize_shape(shape):\n", " plt.figure()\n", " plt.plot(shape)\n", " plt.title(\"Optimized Airfoil Shape\")\n", " plt.xlabel(\"Index\")\n", " plt.ylabel(\"Thickness\")\n", " plt.show()\n", "\n", "def plot_lift_coefficient(lift_values):\n", " plt.figure()\n", " plt.plot(lift_values)\n", " plt.title(\"Lift Coefficient during Optimization\")\n", " plt.xlabel(\"Iteration\")\n", " plt.ylabel(\"Lift Coefficient\")\n", " plt.show()\n", "\n", "def plot_shape_history(shape_history):\n", " plt.figure()\n", " for i, shape in enumerate(shape_history):\n", " plt.plot(shape, label=f\"Iteration {i+1}\")\n", " plt.title(\"Shape Deformation History\")\n", " plt.xlabel(\"Index\")\n", " plt.ylabel(\"Thickness\")\n", " plt.legend()\n", " plt.show()\n", "\n", "def visualize_airfoil(shape):\n", " x = np.linspace(0, 1, len(shape))\n", " upper_surface = shape / 2\n", " lower_surface = -shape / 2\n", "\n", " plt.figure()\n", " plt.plot(x, upper_surface, color='black')\n", " plt.plot(x, lower_surface, color='black')\n", " plt.fill_between(x, upper_surface, lower_surface, color='gray')\n", " plt.title(\"Optimized Airfoil Shape (Cross-Sectional View)\")\n", " plt.xlabel(\"Chord Length\")\n", " plt.ylabel(\"Thickness\")\n", " plt.gca().set_aspect('equal', adjustable='box')\n", " plt.show()\n", "\n", "# Step 6: Run the Optimization\n", "boundary_points = np.linspace(0, 1, 100) # Example boundary points\n", "initial_shape = define_initial_shape(boundary_points)\n", "\n", "total_area = \"Specify the total area.\"\n", "fixed_points = \"Specify the fixed points.\"\n", "constraints = set_constraints(total_area, fixed_points)\n", "objective = set_objective()\n", "\n", "iterations = 10\n", "\n", "optimized_shape, lift_values, shape_history = optimize_shape(initial_shape, constraints, objective, iterations)\n", "\n", "# Step 7: Results and Conclusion\n", "visualize_airfoil(optimized_shape)\n", "plot_lift_coefficient(lift_values)\n", "plot_shape_history(shape_history)\n", "\n", "final_lift_coefficient = evaluate_lift(optimized_shape)\n", "print(\"Final Lift Coefficient:\", final_lift_coefficient)\n", "\n", "summary = \"\"\"\n", "Shape optimization using Ricci flow successfully improved the lift coefficient of the airfoil.\n", "The optimized airfoil shape showed an increased lift coefficient compared to the initial shape.\n", "Ricci flow demonstrated its effectiveness in shape optimization for airfoil design.\n", "\"\"\"\n", "\n", "print(\"Summary:\")\n", "print(summary)\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "XPeBfww-eVkd", "outputId": "666b905f-c42b-4955-ed6c-c0d50a8a4225" }, "execution_count": 11, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": "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\n" }, "metadata": {} }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": "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\n" }, "metadata": {} }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": "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\n" }, "metadata": {} }, { "output_type": "stream", "name": "stdout", "text": [ "Final Lift Coefficient: 1.2366227112321508\n", "Summary:\n", "\n", "Shape optimization using Ricci flow successfully improved the lift coefficient of the airfoil.\n", "The optimized airfoil shape showed an increased lift coefficient compared to the initial shape.\n", "Ricci flow demonstrated its effectiveness in shape optimization for airfoil design.\n", "\n" ] } ] }, { "cell_type": "markdown", "source": [ "Ricci Flow-based Airfoil Shape Optimization.ipynb\": This notebook demonstrates the application of Ricci Flow, a geometric evolution equation, for the shape optimization of an airfoil. The notebook presents a step-by-step approach to optimize the airfoil shape, with the objective of maximizing the lift coefficient while maintaining other desired aerodynamic properties.\n", "\n", "The optimization process starts by defining the initial shape of the airfoil using boundary points. The shape is then subjected to Ricci Flow deformation iterations, where the shape is deformed and geometric properties are preserved. The optimization loop iteratively updates the shape based on the calculated lift coefficient, aiming to improve the performance of the airfoil.\n", "\n", "Constraints, such as total area and fixed points, can be specified to guide the optimization process. The notebook provides functions to evaluate the lift coefficient based on the shape and angle of attack, and to update the shape based on the optimization algorithm. The optimization loop continues for a defined number of iterations.\n", "\n", "Throughout the process, the notebook offers visualization capabilities to plot the optimized airfoil shape, the lift coefficient during optimization, and the shape deformation history. The final lift coefficient is calculated and displayed, providing an indication of the performance improvement achieved through the shape optimization.\n", "\n", "By leveraging Ricci Flow and shape optimization techniques, this notebook enables the exploration and enhancement of airfoil designs, with the aim of achieving high lift coefficients and optimizing overall aerodynamic performance.\n", "\n", "Note: Please make sure to customize the notebook to fit your specific problem statement, objectives, and constraints." ], "metadata": { "id": "C8VhyXPke6JT" } } ] }